Simplify Fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole and consists of a numerator (top number) and a denominator (bottom number).

Front

What does it mean to simplify a fraction?

Back

Simplifying a fraction means reducing it to its simplest form, where the numerator and denominator have no common factors other than 1.

Front

How do you find the greatest common divisor (GCD) of two numbers?

Back

The GCD of two numbers is the largest number that divides both of them without leaving a remainder. It can be found using the Euclidean algorithm or by listing the factors.

Front

What is the simplified form of the fraction 12/42?

Back

The simplified form of 12/42 is 2/7.

Front

What is the simplified form of the fraction 15/20?

Back

The simplified form of 15/20 is 3/4.

Front

What is the simplified form of the fraction 6/72?

Back

The simplified form of 6/72 is 1/12.

Front

What is the simplified form of the fraction 12/28?

Back

The simplified form of 12/28 is 3/7.

Front

How do you simplify the fraction 15/36?

Back

To simplify 15/36, find the GCD of 15 and 36, which is 3. Divide both the numerator and denominator by 3 to get 5/12.

Front

What is the importance of simplifying fractions in real-life applications?

Back

Simplifying fractions makes calculations easier and helps in understanding proportions, ratios, and comparisons in real-life situations.

Front

Can a fraction be simplified if the numerator is smaller than the denominator?

Back

Yes, a fraction can still be simplified even if the numerator is smaller than the denominator, as long as they have common factors.